An airplane pilot wishes to fly to his destination 500 mi due west, but the wind is blowing at 28.7 mi/hr toward 25.7° north of west. The speed of the plane relative to the air is 169.1 mi/hr. At what angle (south of west) must the pilot orient the plane in order to fly to his destination directly?  If the pilot orients the plane at that angle, what will be the speed of the plane relative to the ground?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 35P
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An airplane pilot wishes to fly to his destination 500 mi due west, but the wind is blowing at 28.7 mi/hr toward 25.7° north of west. The speed of the plane relative to the air is 169.1 mi/hr. At what angle (south of west) must the pilot orient the plane in order to fly to his destination directly? 

If the pilot orients the plane at that angle, what will be the speed of the plane relative to the ground? 

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